Isoperimetric properties of condenser capacity
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Date
2021-02-17Metadata
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For compact subsets E of the unit disk D we study the capacity of the condenser (D,E) by means of set functionals defined in terms of hyperbolic geometry. In particular, we study experimentally the case of a hyperbolic triangle and arrive at the conjecture that of all triangles with the same hyperbolic area, the equilateral triangle has the least capacity.
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